DLMF:25.12.E5 (Q7724): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: dilogarithm / rank
 
Normal rank
Property / Symbols used: dilogarithm / qualifier
 
test:

Li 2 ⁡ ( z ) dilogarithm 𝑧 {\displaystyle{\displaystyle\mathrm{Li}_{2}\left(\NVar{z}\right)}}

\dilog@{\NVar{z}}
Property / Symbols used: dilogarithm / qualifier
 
xml-id: C25.S12.E1.m2addec

Revision as of 12:48, 2 January 2020

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DLMF:25.12.E5
No description defined

    Statements

    test
    Li 2 ⁡ ( z m ) = m ⁢ ∑ k = 0 m - 1 Li 2 ⁡ ( z ⁢ e 2 ⁢ π ⁢ i ⁢ k / m ) , dilogarithm superscript 𝑧 𝑚 𝑚 superscript subscript 𝑘 0 𝑚 1 dilogarithm 𝑧 superscript 𝑒 2 𝜋 𝑖 𝑘 𝑚 {\displaystyle{\displaystyle\mathrm{Li}_{2}\left(z^{m}\right)=m\sum_{k=0}^{m-1% }\mathrm{Li}_{2}\left(ze^{2\pi ik/m}\right),}}
    0 references
    DLMF id
    DLMF:25.12.E5
    0 references
    constraint
    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    dilogarithm
    test
    Li 2 ⁡ ( z ) dilogarithm 𝑧 {\displaystyle{\displaystyle\mathrm{Li}_{2}\left(\NVar{z}\right)}}
    xml-id
    C25.S12.E1.m2addec
    0 references
     
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